40657680 has 160 divisors (see below), whose sum is σ = 160108800. Its totient is φ = 9289728.

The previous prime is 40657649. The next prime is 40657699. The reversal of 40657680 is 8675604.

It is a happy number.

40657680 is a `hidden beast` number, since 4 + 0 + 6 + 576 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13776 + ... + 16464.

It is an arithmetic number, because the mean of its divisors is an integer number (1000680).

Almost surely, 2^40657680 is an apocalyptic number.

40657680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40657680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80054400).

40657680 is an abundant number, since it is smaller than the sum of its proper divisors (119451120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40657680 is a wasteful number, since it uses less digits than its factorization.

40657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 40657680 is about 6376.3375067510. The cubic root of 40657680 is about 343.8593710379.

The spelling of 40657680 in words is "forty million, six hundred fifty-seven thousand, six hundred eighty".